The classification of compact simply connected biquotients in dimension 6 and 7

Abstract

We classify all compact simply connected biquotients of dimension 6 and 7. For each $6$-dimensional biquotient, all pairs of groups $(G,H)$ and homomorphisms $H\to G\times G$ giving rise to it are classified.

Final version. To appear in Math. Ann

References in corpus (3)

• An exotic sphere with positive sectional curvature
• The classification and curvature of biquotients of the form $Sp(3)//Sp(1{)}^2$
• Special Holonomy on Special Spaces

Cited by in corpus (5)

• Generalized Surgery on Riemannian Manifolds of Positive Ricci Curvature
• Positive weighted sectional curvature
• Positive curvature and torus symmetry in small dimensions, I -- Dimensions 10, 12, 14, and 16
• Positive Ricci curvature on simply-connected manifolds with cohomogeneity-two torus actions
• On geometric formality of rationally elliitic manifolds in dimensions $6$ and $7$